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Math Help - Graph

  1. #1
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    Graph

    Three objects move along the x-axis. They start at the origin and move right. The threee graphs show the speeds of the three objects plotted against time. Calculate how far each object is from the origin at t=4.
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  2. #2
    MHF Contributor Mathstud28's Avatar
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    Either

    Quote Originally Posted by lilikoipssn View Post
    Three objects move along the x-axis. They start at the origin and move right. The threee graphs show the speeds of the three objects plotted against time. Calculate how far each object is from the origin at t=4.
    Be funny and just write it is \int_0^4{f(x)}dx...or geometrically add up the area under the curves between 0 and 4
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  3. #3
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    I got the first two, but I don't know how to do the last one.
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  4. #4
    MHF Contributor Mathstud28's Avatar
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    Ok

    Quote Originally Posted by lilikoipssn View Post
    I got the first two, but I don't know how to do the last one.
    If those gray lines are something different than the black ones this is wrong...but just add the total area between [0,1] he moves the area under the curve which is 20\cdot{1}....from [1,3] he goes nowhere since it is the area of a non-existant shape which is zero and from [3,4] the area is 10\cdot{1}...so Distance_{total}=20\cdot{1}+10\cdot{1}=30
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